What is the Least Common Multiple of 86268 and 86284?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86268 and 86284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86268 and 86284, than apply into the LCM equation.

GCF(86268,86284) = 4
LCM(86268,86284) = ( 86268 × 86284) / 4
LCM(86268,86284) = 7443548112 / 4
LCM(86268,86284) = 1860887028

Least Common Multiple (LCM) of 86268 and 86284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86268 and 86284. First we will calculate the prime factors of 86268 and 86284.

Prime Factorization of 86268

Prime Factorization of 86284

Now multiplying the highest exponent prime factors to calculate the LCM of 86268 and 86284.

LCM(86268,86284) = 2² × 3¹ × 7¹ × 13¹ × 79¹ × 11¹ × 37¹ × 53¹
LCM(86268,86284) = 1860887028